61905600 has 168 divisors, whose sum is σ = 225826320. Its totient is φ = 16496640.

The previous prime is 61905593. The next prime is 61905617. The reversal of 61905600 is 650916.

It is a super-2 number, since 2×61905600² = 7664606622720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42484 + ... + 43916.

Almost surely, 2^61905600 is an apocalyptic number.

61905600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112913160).

61905600 is an abundant number, since it is smaller than the sum of its proper divisors (163920720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61905600 is a wasteful number, since it uses less digits than its factorization.

61905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 61905600 is about 7868.0111845370. The cubic root of 61905600 is about 395.5881852943.

The spelling of 61905600 in words is "sixty-one million, nine hundred five thousand, six hundred".